# Shapely Atoms

## TL;DR

This paper introduces the concept of shaped atoms in elastic systems, allowing for unconventional wave control and vibration isolation by decoupling mass and inertia, thus enabling new dynamic behaviors at lower frequencies.

## Contribution

It proposes shaped atoms to relax the mass-inertia link in elastic structures, enabling novel wave manipulation mechanisms not possible with traditional models.

## Key findings

- Feasibility demonstrated in elastic chiral systems
- Achieves low-frequency wave control without altering stiffness
- Enables new vibration isolation mechanisms

## Abstract

The study of vibrational properties in engineered periodic structures relies on the early intuitions of Ha\"uy and Boscovich, who regarded crystals as ensembles of periodically arranged mass points interacting via attractive and repulsive forces. Contrary to electromagnetism, where mechanical properties do not couple to the wave propagation mechanism, in elasticity this paradigm inevitably led to low stiffness and high-density materials. Here, we transcend the Ha\"uy-Boscovich perception, proposing the concept of shaped atoms, which relaxes the link between the mass and inertia of atoms, to achieve unusual dynamic behavior at lower frequencies, leaving the stiffness unaltered. Exploiting tacticity, we successfully demonstrate its feasibility in continuous elastic chiral systems, opening the way to the conception of new mechanisms for wave control, selective wave filtering and vibration isolation.